Minimum detectable effect size for main outcomes (accounting for sample
design and clustering)
For the health insurance experiment with 1,000 respondents, the minimum detectable effect is approximately 0.18 standard deviations for continuous outcomes. For binary outcomes, using a conservative 50% control-group mean, the minimum detectable effect is approximately 8.9 percentage points.
For the W-2 job-search experiment with 500 respondents, the minimum detectable effect is approximately 0.25 standard deviations for continuous outcomes. For binary outcomes, using a conservative 50% control-group mean, the minimum detectable effect is approximately 12.5 percentage points.